3-DESIGNS FROM PSL(2,q) WITH q ≡ 1 (mod 4)

被引:0
|
作者
Chen, Jing [1 ]
Liu, Wei Jun [1 ]
机构
[1] Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
LARGE SETS; PSL(2,2(N)); DESIGNS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the action of the group PSL(2, g) on the finite projective line GF(q) boolean OR {infinity} when q is a prime power congruent to 1 modulo 4 and construct several simple 3-(q+1,5, lambda) designs admitting PS L(2, q) as an automorphism group. Most of these designs with the given parameter sets were previously unknown.
引用
收藏
页码:211 / 222
页数:12
相关论文
共 50 条
  • [41] CHARACTER TABLES FOR SL(3,Q), SU(3,Q2), PSL(3,Q), PSU(3,Q2)
    SIMPSON, WA
    FRAME, JS
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1973, 25 (03): : 486 - 494
  • [42] SYMMETRICAL DESIGNS WITH LAMBDA = 2 ADMITTING PSL(2,Q) FIXING A BLOCK
    FANNING, JD
    ARS COMBINATORIA, 1991, 31 : 165 - 170
  • [43] Flag-Transitive 3-(v, k,3) Designs and PSL(2,q) Groups
    Dai, Shaojun
    Li, Shangzhao
    ALGEBRA COLLOQUIUM, 2021, 28 (01) : 33 - 38
  • [44] CHARACTERIZATION OF PSL(4,Q), Q EVEN, Q GREATER-THAN 4
    LAMBERT, PJ
    ILLINOIS JOURNAL OF MATHEMATICS, 1977, 21 (02) : 255 - 265
  • [45] Halving PSL(2, q)
    Bierbrauer J.
    Edel Y.
    Journal of Geometry, 1999, 64 (1-2) : 51 - 54
  • [46] A New Characterization of PSL(2, q) for Some q
    A. K. Asboei
    S. S. S. Amiri
    A. Iranmanesh
    Ukrainian Mathematical Journal, 2016, 67 : 1297 - 1305
  • [47] Characterization of G2(q), where 2 < q ≡ −1(mod 3), by order components
    P. Nosratpour
    M. R. Darafsheh
    Siberian Mathematical Journal, 2013, 54 : 883 - 893
  • [48] PSL2(Q) AND EXTENSIONS OF Q(X)
    VOLKLEIN, H
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 24 (01) : 145 - 153
  • [49] An almost all result on q1q2 ≡ c (mod q)
    Chan, Tsz Ho
    MONATSHEFTE FUR MATHEMATIK, 2011, 162 (01): : 29 - 39
  • [50] A New Characterization of PSL(2, q) for Some q
    Asboei, A. K.
    Amiri, S. S. S.
    Iranmanesh, A.
    UKRAINIAN MATHEMATICAL JOURNAL, 2016, 67 (09) : 1297 - 1305